Question

What are the merits and demerits of standard deviation?

Answer 1

Advantages of Standard Deviation: The standard deviation is the best measure of variation. It is based on every item of the distribution. You can do algebraic operation and is less affected by fluctuations of sampling than most other measures of dispersion.

Answer 2

The standard deviation, similar to some other gadgets has certain benefits and bad marks. These are laid out here as under:  

MERITS

• It is inflexibly characterized and liberated from any vagueness.  

• Its computation depends on every one of the perceptions of an arrangement and it can't be accurately determined disregarding any thing of an arrangement.  
• It carefully pursues the logarithmic standards, and it never overlooks the + and – signs like the mean deviation.  
• It is prepared to do assist mathematical treatment as it has a great deal of arithmetical properties.  
• It is utilized as an impressive instrument in making higher measurable investigation viz.: connection, skewness, relapse and test ponders, and so forth.  
• It isn't tremendously influenced by the changes in examining for which is broadly utilized in testing the theories and for leading the various trial of importance viz. : test, t2 test and so forth.  
• In an ordinary circulation, X¯ ± 1 spreads 68.27% of the qualities for which it is known as a standard proportion of scattering.  
• It shows the dissipate of scattering of the different things of an arrangement structure its number juggling mean and in this way legitimizes its name as a proportion of scattering.  
• It empowers us to make a relative investigation of the two, or moiré arrangement, and to tell upon their consistency, or strength through count of the significant components viz. co-effective of variety, change and so forth.  
• It empowers us to decide the unwavering quality of the Mean of the at least two arrangement when they show the indistinguishable methods.
• It very well may be determined through a decent number of techniques yielding similar outcomes.  
• It keeps up an exact connection with different proportions of scattering as under : Range = 6, QD =2/3 , and MD = 4/5  
• It has a decent number of mathematical properties for which it is conceivable to decide the quantity of many associated factors like joined standard deviation of at least two arrangement.  

DEMERITS

• It isn't comprehended by a typical man.  
• Its figuring is troublesome as it includes numerous numerical models and procedures.  
• It is influenced particularly by the extraordinary estimations of an arrangement in as much as the squares of deviations of large things proportionately greater than the squares of the littler things.  
• It can't be utilized for looking at the scattering of, at least two arrangement given in various units.